Solve 2331/28

$$\frac{ 2331 }{ 28 }$$

Evaluate

$$\frac{333}{4}=83.25$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2331

$$\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)2331}\\\end{array}$$

Since 2 is less than 28, use the next digit 3 from dividend 2331 and add 0 to the quotient

$$\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)2331}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 2331

$$\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)2331}\\\end{array}$$

Since 23 is less than 28, use the next digit 3 from dividend 2331 and add 0 to the quotient

$$\begin{array}{l}\phantom{28)}00\phantom{4}\\28\overline{)2331}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 2331

$$\begin{array}{l}\phantom{28)}00\phantom{5}\\28\overline{)2331}\\\end{array}$$

Find closest multiple of 28 to 233. We see that 8 \times 28 = 224 is the nearest. Now subtract 224 from 233 to get reminder 9. Add 8 to quotient.

$$\begin{array}{l}\phantom{28)}008\phantom{6}\\28\overline{)2331}\\\phantom{28)}\underline{\phantom{}224\phantom{9}}\\\phantom{28)99}9\\\end{array}$$

Use the 4^{th} digit 1 from dividend 2331

$$\begin{array}{l}\phantom{28)}008\phantom{7}\\28\overline{)2331}\\\phantom{28)}\underline{\phantom{}224\phantom{9}}\\\phantom{28)99}91\\\end{array}$$

Find closest multiple of 28 to 91. We see that 3 \times 28 = 84 is the nearest. Now subtract 84 from 91 to get reminder 7. Add 3 to quotient.

$$\begin{array}{l}\phantom{28)}0083\phantom{8}\\28\overline{)2331}\\\phantom{28)}\underline{\phantom{}224\phantom{9}}\\\phantom{28)99}91\\\phantom{28)}\underline{\phantom{99}84\phantom{}}\\\phantom{28)999}7\\\end{array}$$

Since 7 is less than 28, stop the division. The reminder is 7. The topmost line 0083 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 83.

$$\text{Quotient: }83 \text{Reminder: }7$$

Factor

$$\frac{3 ^ {2} \cdot 37}{2 ^ {2}} = 83\frac{1}{4} = 83.25$$